Atkin-Lehner |
7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6923b |
Isogeny class |
Conductor |
6923 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-339227 = -1 · 73 · 23 · 43 |
Discriminant |
Eigenvalues |
-2 -3 2 7- 0 -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
147197952/339227 |
j-invariant |
L |
1.3700128393375 |
L(r)(E,1)/r! |
Ω |
2.114758794322 |
Real period |
R |
0.21594469670583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768o1 62307e1 48461c1 |
Quadratic twists by: -4 -3 -7 |